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Finding the Fourth Proportional to 771,535.38, 1,064,681.82 and 427,348.08

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Solution

The fourth proportional to 771,535.38, 1,064,681.82 and 427,348.08 is: 589,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,535.38 : 1,064,681.82 = 427,348.08 : x
  2. Step 2: Convert to fraction form
    771,535.38/1,064,681.82 = 427,348.08/x
  3. Step 3: Cross multiply
    771,535.38x = 1,064,681.82 × 427,348.08
  4. Step 4: Simplify right side
    771,535.38x = 454,989,731,587.91
  5. Step 5: Solve for x
    x = 454,989,731,587.91/771,535.38
  6. Step 6: Final answer
    x = 589,719.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.